A. Said

activity

20202023

most citedA geometric proof of the Quasi-linearity of the water-waves system

7 citations · 12 across the 6 of their papers we have counts for

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Showing 2021 · math.APShow all

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math.AP2021★ 1 cited

On the Cauchy problem of dispersive Burgers type equations

Ayman Rimah Said

We study the paralinearised weakly dispersive Burgers type equation: $\partial_{t} u + T_{u} \partial_{x} u + \partial_{x} ∣ D ∣^{α - 1} u = 0, α \in] 1, 2 [,$ which contains the main non linear "wors…

math.AP2021

Regularity results on the flow maps of periodic dispersive Burgers type equations and the Gravity-Capillary equations

Ayman Rimah Said

In the first part of this paper we prove that the flow associated to a dispersive Burgers equation with a non local term of the form $∣ D ∣^{α - 1} \partial_{x} u$ , $α \in [1, + \infty [$ is…